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Finding the Fourth Proportional to 1,505.07, 2,257.81 and 465.16

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Solution

The fourth proportional to 1,505.07, 2,257.81 and 465.16 is: 697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.07 : 2,257.81 = 465.16 : x
  2. Step 2: Convert to fraction form
    1,505.07/2,257.81 = 465.16/x
  3. Step 3: Cross multiply
    1,505.07x = 2,257.81 × 465.16
  4. Step 4: Simplify right side
    1,505.07x = 1,050,231.61
  5. Step 5: Solve for x
    x = 1,050,231.61/1,505.07
  6. Step 6: Final answer
    x = 697.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.